A156839 Triangle read by rows, A054525 * A156348 * A000012.

1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 4, 4, 1, 1, 1, 1, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 9, 9, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 24, 24, 22, 15, 6, 6, 1, 1, 1, 1, 1, 1

Offset: 1

Author

Gary W. Adamson and Mats Granvik, Feb 16 2009

Keywords

• nonn
• tabl

Comments

For rows >1, n-th row = all 1's iff n is prime.

Row sums = A156833: (1, 2, 3, 6, 5, 16, 7, 24, 24, 38, 11,...).

Examples

			First few rows of the triangle =
1;
1, 1;
1, 1, 1;
2, 2, 1, 1;
1, 1, 1, 1, 1;
5, 5, 3, 1, 1, 1;
1, 1, 1, 1, 1, 1, 1;
6, 6, 4, 4, 1, 1, 1, 1;
6, 6, 6, 1, 1, 1, 1, 1, 1;
9, 9, 5, 5, 5, 1, 1, 1, 1, 1;
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
24, 24, 22, 15, 6, 6, 1, 1, 1, 1, 1, 1;
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
13, 13, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1;
...
		

Crossrefs

Cf. A156348, A054525, A156833

Formula

Triangle read by rows, A054525 * A156348 * A000012 A054525 = the inverse Mobius transform, A000012 = an infinite lower triangular matrix with all 1's.